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 ArcSech

 http://functions.wolfram.com/01.30.27.0321.01

 Input Form

 ArcSech[z] == ((2 Sqrt[1/z - 1])/Sqrt[1 - 1/z]) (Pi/2 - ArcCos[Sqrt[(z - 1)/(2 z)]])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["2", SqrtBox[RowBox[List[RowBox[List["1", "/", "z"]], "-", "1"]]]]], SqrtBox[RowBox[List["1", "-", RowBox[List["1", "/", "z"]]]]]], RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCos", "[", SqrtBox[FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["2", "z"]]]], "]"]]]], ")"]]]]]]]]

 MathML Form

 sech - 1 ( z ) 2 1 - 1 z 1 z - 1 ( π 2 - cos - 1 ( z - 1 2 z ) ) z 2 1 -1 1 z -1 1 2 -1 1 z -1 -1 1 2 2 -1 -1 z -1 2 z -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSech", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", " ", SqrtBox[RowBox[List[FractionBox["1", "z"], "-", "1"]]]]], ")"]], " ", RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCos", "[", SqrtBox[FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["2", " ", "z"]]]], "]"]]]], ")"]]]], SqrtBox[RowBox[List["1", "-", FractionBox["1", "z"]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2003-08-21